How do you find two consecutive odd numbers with a product of 575?

Answer 1

Oh, dude, finding consecutive odd numbers with a product of 575 is like trying to find a needle in a haystack, but like, with math. You can solve it by realizing that the square root of 575 is between 23 and 24, so the two consecutive odd numbers are 23 and 25. Easy peasy lemon squeezy.

Answer 2

Let's represent the two consecutive odd numbers as (2n+1) and (2n+3), where n is an integer. Their product is (2n+1)(2n+3) = 575. Expanding and simplifying this equation, we get 4n^2 + 8n + 3 = 575. Rearranging terms, we have 4n^2 + 8n - 572 = 0. This is a quadratic equation that can be solved using the quadratic formula or factoring to find the values of n, which can then be used to determine the consecutive odd numbers.

Answer 3

575 = 5 x 5 x 23. Consecutive factors therefore 23 & 25.